TSTP Solution File: SET578+3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET578+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 05:10:29 EDT 2022
% Result : Theorem 0.39s 0.58s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 6 unt; 4 nHn; 12 RR)
% Number of literals : 33 ( 6 equ; 11 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
cnf(2,axiom,
( member(X,intersection(Y,Z))
| ~ member(X,Y)
| ~ member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
cnf(10,axiom,
( X = Y
| ~ member('SKOLEMAAAR2'(X,Y),X)
| ~ member('SKOLEMAAAR2'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(11,axiom,
( X = Y
| member('SKOLEMAAAR2'(X,Y),X)
| member('SKOLEMAAAR2'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(12,negated_conjecture,
( ~ member(X,'SKOLEMAAAR3')
| member(X,'SKOLEMAAAR4') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th19) ).
cnf(13,negated_conjecture,
( ~ member(X,'SKOLEMAAAR3')
| member(X,'SKOLEMAAAR5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th19) ).
cnf(14,negated_conjecture,
( member(X,'SKOLEMAAAR3')
| ~ member(X,'SKOLEMAAAR4')
| ~ member(X,'SKOLEMAAAR5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th19) ).
cnf(15,negated_conjecture,
'SKOLEMAAAR3' != intersection('SKOLEMAAAR4','SKOLEMAAAR5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th19) ).
cnf(17,plain,
( 'SKOLEMAAAR3' = X
| member('SKOLEMAAAR2'('SKOLEMAAAR3',X),X)
| member('SKOLEMAAAR2'('SKOLEMAAAR3',X),'SKOLEMAAAR5') ),
inference('HYPERRESOLVE',[status(thm)],[13,11]) ).
cnf(18,plain,
( 'SKOLEMAAAR3' = X
| member('SKOLEMAAAR2'('SKOLEMAAAR3',X),X)
| member('SKOLEMAAAR2'('SKOLEMAAAR3',X),'SKOLEMAAAR4') ),
inference('HYPERRESOLVE',[status(thm)],[12,11]) ).
cnf(46,plain,
( 'SKOLEMAAAR3' = X
| member('SKOLEMAAAR2'('SKOLEMAAAR3',X),X)
| member('SKOLEMAAAR2'('SKOLEMAAAR3',X),intersection('SKOLEMAAAR4','SKOLEMAAAR5')) ),
inference('HYPERRESOLVE',[status(thm)],[2,18,17]) ).
cnf(191,plain,
member('SKOLEMAAAR2'('SKOLEMAAAR3',intersection('SKOLEMAAAR4','SKOLEMAAAR5')),intersection('SKOLEMAAAR4','SKOLEMAAAR5')),
inference('UR-RESOLVE',[status(thm)],[46,15]) ).
cnf(198,plain,
member('SKOLEMAAAR2'('SKOLEMAAAR3',intersection('SKOLEMAAAR4','SKOLEMAAAR5')),'SKOLEMAAAR4'),
inference('HYPERRESOLVE',[status(thm)],[1,191]) ).
cnf(199,plain,
member('SKOLEMAAAR2'('SKOLEMAAAR3',intersection('SKOLEMAAAR4','SKOLEMAAAR5')),'SKOLEMAAAR5'),
inference('HYPERRESOLVE',[status(thm)],[1,191]) ).
cnf(200,plain,
~ member('SKOLEMAAAR2'('SKOLEMAAAR3',intersection('SKOLEMAAAR4','SKOLEMAAAR5')),'SKOLEMAAAR3'),
inference('UR-RESOLVE',[status(thm)],[10,191,15]) ).
cnf(204,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[14,199,198]),200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : SET578+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.09 % Command : run-snark %s %d
% 0.09/0.29 % Computer : n019.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Sun Jul 10 05:12:23 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.37 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38 *
% 0.13/0.38 *
% 0.13/0.38 #<PACKAGE "SNARK-USER">
% 0.13/0.38 *
% 0.13/0.38 SNARK-TPTP-OPTIONS
% 0.13/0.38 *
% 0.13/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.38 (USE-FACTORING :POS)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.38 *
% 0.13/0.38 "."
% 0.13/0.38 *
% 0.13/0.38 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T05:12:23
% 0.13/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-10T05:12:23
% 0.13/0.39
% 0.13/0.40 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.39/0.58 ; Declaring intersection to be commutative.
% 0.39/0.58
% 0.39/0.58 #||
% 0.39/0.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.58 % SZS output start Refutation
% See solution above
% 0.39/0.59 ||#
% 0.39/0.59
% 0.39/0.59 ; Summary of computation:
% 0.39/0.59 ; 1324 formulas have been input or derived (from 62 formulas).
% 0.39/0.59 ; 204 (15%) were retained. Of these,
% 0.39/0.59 ; 100 (49%) were simplified or subsumed later,
% 0.39/0.59 ; 104 (51%) are still being kept.
% 0.39/0.59 ;
% 0.39/0.59 ; Run time in seconds excluding printing time:
% 0.39/0.59 ; 0.002 1% Read assertion file (1 call)
% 0.39/0.59 ; 0.000 0% Assert (7 calls)
% 0.39/0.59 ; 0.024 12% Process new row (996 calls)
% 0.39/0.59 ; 0.031 16% Resolution (122 calls)
% 0.39/0.59 ; 0.001 1% Paramodulation (61 calls)
% 0.39/0.59 ; 0.000 0% Factoring (43 calls)
% 0.39/0.59 ; 0.011 6% Condensing (826 calls)
% 0.39/0.59 ; 0.042 21% Forward subsumption (826 calls)
% 0.39/0.59 ; 0.007 4% Backward subsumption (194 calls)
% 0.39/0.59 ; 0.017 9% Clause clause subsumption (2,551 calls)
% 0.39/0.59 ; 0.021 11% Forward simplification (917 calls)
% 0.39/0.59 ; 0.005 3% Backward simplification (204 calls)
% 0.39/0.59 ; 0.010 5% Ordering (3,536 calls)
% 0.39/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.59 ; 0.000 0% Purity testing (1 call)
% 0.39/0.59 ; 0.025 13% Other
% 0.39/0.59 ; 0.196 Total
% 0.39/0.59 ; 0.202 Real time
% 0.39/0.59 ;
% 0.39/0.59 ; Term-hash-array has 279 terms in all.
% 0.39/0.59 ; Feature-vector-row-index has 94 entries (168 at peak, 194 added, 100 deleted).
% 0.39/0.59 ; Feature-vector-row-index has 324 nodes (472 at peak, 706 added, 382 deleted).
% 0.39/0.59 ; Retrieved 5,759 possibly forward subsuming rows in 826 calls.
% 0.39/0.59 ; Retrieved 302 possibly backward subsumed rows in 194 calls.
% 0.39/0.59 ; Path-index has 160 entries (242 at peak, 290 added, 130 deleted).
% 0.39/0.59 ; Path-index has 115 nodes (122 at peak, 155 added, 40 deleted).
% 0.39/0.59 ; Trie-index has 160 entries (242 at peak, 290 added, 130 deleted).
% 0.39/0.59 ; Trie-index has 269 nodes (525 at peak, 622 added, 353 deleted).
% 0.39/0.59 ; Retrieved 516 generalization terms in 1,477 calls.
% 0.39/0.59 ; Retrieved 29 instance terms in 9 calls.
% 0.39/0.59 ; Retrieved 7,177 unifiable terms in 811 calls.
% 0.39/0.59 ;
% 0.39/0.59 ; The agenda of rows to process has 19 entries:
% 0.39/0.59 ; 2 with value 15 1 with value 19 1 with value 26
% 0.39/0.59 ; 8 with value 17 1 with value 22 6 with value 36
% 0.39/0.59 ; The agenda of rows to give has 63 entries:
% 0.39/0.59 ; 1 with value (4 14) 4 with value (4 24) 5 with value (4 29)
% 0.39/0.59 ; 1 with value (4 19) 6 with value (4 26) 7 with value (4 30)
% 0.39/0.59 ; 4 with value (4 22) 9 with value (4 27) 1 with value (4 32)
% 0.39/0.59 ; 10 with value (4 23) 14 with value (4 28) 1 with value (4 33)
% 0.39/0.59 Evaluation took:
% 0.39/0.59 0.202 seconds of real time
% 0.39/0.59 0.185129 seconds of user run time
% 0.39/0.59 0.016873 seconds of system run time
% 0.39/0.59 [Run times include 0.004 seconds GC run time.]
% 0.39/0.59 0 calls to %EVAL
% 0.39/0.59 0 page faults and
% 0.39/0.59 13,371,208 bytes consed.
% 0.39/0.59 :PROOF-FOUND
% 0.39/0.59 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T05:12:23
% 0.39/0.59 :PROOF-FOUND
% 0.39/0.59 *
%------------------------------------------------------------------------------